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Homometric structures

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In chemistry and crystallography, structures of identical atoms that are characterized by the same set of interatomic distances are defined as homometric structures.[1] Homometric crystal structures produce identical diffraction patterns; therefore, they cannot be distinguished by a diffraction experiment.

Recently, a Monte Carlo algorithm was proposed to calculate the number of homometric structures corresponding to any given set of interatomic distances.[2]

  • Example of two homometric structures (top) formed by the convolution between two non-centrosymmetric structures (bottom) with different orientations.
    Example of two homometric structures (top) formed by the convolution between two non-centrosymmetric structures (bottom) with different orientations.

See also

Notes

  1. ^ Patterson, A.L. (1939). "Homometric Structures". Nature. 143 (3631): 939–940. Bibcode:1939Natur.143..939P. doi:10.1038/143939b0.
  2. ^ Gommes C.J.; Jiao Y; Torquato S (2012). "Density of States for a Specified Correlation Function and the Energy Landscape". Phys. Rev. Lett. 108: 080601. arXiv:1201.1142. Bibcode:2012PhRvL.108h0601G. doi:10.1103/PhysRevLett.108.080601. PMID 22463509. Archived from the original on 2013-02-23. {{cite journal}}: Unknown parameter |dead-url= ignored (|url-status= suggested) (help)


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